Page 136 - Math Course 1 (Book 1)

Factoring

Vocabulary A-Z MO. 4 - L3b
Let us learn some vocabulary
Factor Monomials

Monomial factor

is a number, a variable, or a product of numbers a number means to write it as a product of its
and/or variables. factors.
Monomials 8 • 10 = 80 8 • x = 8x
2 3
2
-5, 3, 21x, -21x, -2x y , la b 5
8 and 10 are factors 8 and x are factors
of 80. of 8x.

Let’s Begin

Factor Monomials

Examples

2 4
Factor the monomial 16p q .

4
2 4
2
16p q = 2 • 2 • 2 • 2 • p • q 16 = 2 • 2 • 2 • 2
2 4
16p q = 2 • 2 • 2 • 2 • p • p • q • q • q • q p2 • q4 = p • p • q •q • q • q

2 4
Answer 16p q = 2 • 2 • 2 • 2 • p • p • q • q • q • q

2
Factor the monomial –21x y.
2
2
–21x y = –1 • 3 • 7 • x • y –21 = –1 • 3 • 7
2
2
–21x y = –1 • 3 • 7 • x • x • y x • y = x • x • y
2
Answer –21x y = –1 • 3 • 7 • x • x • y

3
2
Factor the monomial –39a bc .
3
2
3
–39a bc = –1 • 3 • 13 • a • b • c 2 –39 = –1 • 3 • 13
3
2
–39a bc = –1 • 3 • 13 • a • a • a • b • c • c a3 • b • c2 = a • a • a • b • c • c
–39a3bc2 = –1 • 3 • 13 • a • a • a • b • c • c
Answer

128